Final answer to the problem
$\frac{1}{2}x+\frac{2}{5}\ln\left|x+2\right|-\frac{23}{20}\ln\left|2x-1\right|+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{x^2-6}{2x^2+3x-2}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x^2-6)/((x+2)(2x-1)))dx. Expand. Divide x^2-6 by 2x^2+3x-2. Resulting polynomial. Simplify the expression.
Final answer to the problem
$\frac{1}{2}x+\frac{2}{5}\ln\left|x+2\right|-\frac{23}{20}\ln\left|2x-1\right|+C_0$
